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Let P 0 denote the piecewise constant space over τ.
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Let ( X, τ, E ) be a soft topological space over X, then the members of τ are said to be soft open sets in X.
Let (X,A,τ) be a soft topological space over X, and then the collection τ α = {F: (F,A) ∈ τ} for each α ∈ A defines a topology on X[8].
Let ((X,F)) be an F-cone metric space over Banach algebra A. In this paper, τ denotes the topology on X, B denotes a subbase for the topology on τ and (B_{F} x,c)) denotes the F-ball in ((X,F)), which are described in Definition 4.1.
Then the τ T -product (V1 × V2, ν, τ, τ*) is an α-Šerstnev PN space under τ and τ*.
Fig. 3 Medium-run preferences over τ.
Clearly ( X, d ) is a complete quasimetric space and τ d is the discrete topology on X, so τ d = τ d s.
selfmap of a τ-bounded subset M of a Hausdorff locally convex space (E, τ).
The soft topological space ( G, τ ˜ G ) is called a soft topological subspace of ( F, τ ˜ ).
Note that (11) is nonlinear and non-convex over τ.
A locally solid Riesz space ( L, τ ) is a Riesz space L equipped with a locally solid topology τ.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com